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Question
irene stated that the heights of the students in her class were not a function of their ages. which reasoning could justify irenes statement?
- two students are the same age but have different heights.
- two students have the same height but different ages.
- no two students are the same age or height.
A function requires that each input (age) maps to exactly one output (height). If two students share the same age but have different heights, a single input has multiple outputs, violating the definition of a function. The other options do not break this rule: same height with different ages is allowed (one output can come from multiple inputs), and unique ages/heights still fits a function.
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Two students are the same age but have different heights.